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Finding the Fourth Proportional to 288.64, 433 and 277.12

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Solution

The fourth proportional to 288.64, 433 and 277.12 is: 415.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.64 : 433 = 277.12 : x
  2. Step 2: Convert to fraction form
    288.64/433 = 277.12/x
  3. Step 3: Cross multiply
    288.64x = 433 × 277.12
  4. Step 4: Simplify right side
    288.64x = 119,992.96
  5. Step 5: Solve for x
    x = 119,992.96/288.64
  6. Step 6: Final answer
    x = 415.72

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